GCD of 364, 441, 525 Calculator

Given Input numbers are 364, 441, 525

In the factoring method, we have to find the divisors of all numbers

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (364, 441, 525) = 7.

Given numbers are 364, 441, 525

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 364, 441, 525 is 7.

Given numbers are 364, 441, 525

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(364, 441) = 22932

GCD(364, 441) = ( 364 x 441 ) / 22932

= 364 / 441

= 364

Step2:

LCM(7, 525) = 525

GCD(7, 525) = ( 7 x 525 ) / 525

= 7 / 525

= 7

So, Greatest Common Divisor of 364, 441, 525 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 242, 160
• GCD of 600, 759, 817
• GCD of 189, 221, 325
• GCD of 234, 859, 660
• GCD of 282, 147, 877

Given numbers are 364, 441, 525
The greatest common divisor of numbers 364, 441, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 441, 525 is 7.

1. What is the GCD of 364, 441, 525?

GCD of given numbers 364, 441, 525 is 7

2. How to calculate the greatest common divisor of 364, 441, 525?

We can find the highest common divisor of 364, 441, 525 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 364, 441, 525 i.e 7.

3. How can I use the GCD of 364, 441, 525Calculator?

Out the numbers 364, 441, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.